What is the Greatest Common Factor of 28791 and 28799?

Greatest common factor (GCF) of 28791 and 28799 is 1.

GCF(28791,28799) = 1

We will now calculate the prime factors of 28791 and 28799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28791 and 28799.

How to find the GCF of 28791 and 28799?

We will first find the prime factorization of 28791 and 28799. After we will calculate the factors of 28791 and 28799 and find the biggest common factor number .

Step-1: Prime Factorization of 28791

Prime factors of 28791 are 3, 7, 457. Prime factorization of 28791 in exponential form is:

28791 = 3² × 7¹ × 457¹

Step-2: Prime Factorization of 28799

Prime factors of 28799 are 31, 929. Prime factorization of 28799 in exponential form is:

28799 = 31¹ × 929¹

Step-3: Factors of 28791

List of positive integer factors of 28791 that divides 28791 without a remainder.

1, 3, 7, 9, 21, 63, 457, 1371, 3199, 4113, 9597

Step-4: Factors of 28799

List of positive integer factors of 28799 that divides 28791 without a remainder.

1, 31, 929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28791 and 28799. The biggest common factor number is the GCF number.
So the greatest common factor 28791 and 28799 is 1.

Also check out the Least Common Multiple of 28791 and 28799